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105297109371 = 325916710211163
BaseRepresentation
bin110001000010000110…
…0100110000101111011
3101001210100002101020200
41202010030212011323
53211122024444441
6120212310253243
710415234443026
oct1420414460573
9331710071220
10105297109371
1140724522843
12184a7957223
139c1109649c
14514c7821bd
152b142cd7b6
hex188432617b

105297109371 has 48 divisors (see below), whose sum is σ = 155886232320. Its totient is φ = 68468944320.

The previous prime is 105297109369. The next prime is 105297109417. The reversal of 105297109371 is 173901792501.

It is a happy number.

105297109371 is a `hidden beast` number, since 10 + 529 + 7 + 109 + 3 + 7 + 1 = 666.

It is not a de Polignac number, because 105297109371 - 21 = 105297109369 is a prime.

It is a super-2 number, since 2×1052971093712 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105297109571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90538636 + ... + 90539798.

It is an arithmetic number, because the mean of its divisors is an integer number (3247629840).

Almost surely, 2105297109371 is an apocalyptic number.

105297109371 is a deficient number, since it is larger than the sum of its proper divisors (50589122949).

105297109371 is a wasteful number, since it uses less digits than its factorization.

105297109371 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 105297109371 in words is "one hundred five billion, two hundred ninety-seven million, one hundred nine thousand, three hundred seventy-one".

Divisors: 1 3 9 59 167 177 501 531 1021 1163 1503 3063 3489 9189 9853 10467 29559 60239 68617 88677 170507 180717 194221 205851 511521 542151 582663 617553 1187423 1534563 1747989 3562269 10059913 10686807 11459039 30179739 34377117 70057957 90539217 103131351 198299641 210173871 594898923 630521613 1784696769 11699678819 35099036457 105297109371